Fundamental statistics in psychology and education:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Tokyo [u.a.]
McGraw-Hill Kogakusha
1973
|
| Edition: | 5. ed., internat. student ed. |
| Series: | McGraw-Hill series in psychology
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 546 S. |
| ISBN: | 0070251487 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Fundamental statistics in psychology and education
Autor: Guilford, Joy P.
Jahr: 1973
Preface xi
J Introduction for students 1
2 Counting and measuring 11
Data in categories 12
Measurements 18
Exercises 23
3 Frequency distributions 25
The class interval and frequencies 25
Graphic representation of frequency distributions 28
Cumulative frequencies and cumulative distributions 33
Exercises 39
4 Measures of central value 42
The arithmetic mean 43
The median and centile values 48
The mode 52
When to employ the mean, median, and mode 53
Means of means, percentages, and proportions 57
Exercises 58
5 Measures of variability 62
The total range 63
The semi-interquartile range Q 63
The standard deviation 65
Descriptive use of statistics 75
vin Contents
Uses and interrelationships of different measures of dispersion 77
Exercises 78
6 Correlation 79
The meaning of correlation 80
How to compute a coefficient of correlation 83
Interpretations of a coefficient of correlation 90
Graphic representations of correlations 93
Assumptions underlying the product-moment correlation 94
Generality of use of correlation methods 95
Exercises 96
7 Probability and mathematical distributions 99
The need for mathematical models 99
Principles of probability 101
Binomial distributions 104
The normal distribution 108
Areas under the normal-distribution curve 111
Other tests and other mathematical models 116
Exercises 117
8 Statistical estimations and inferences 120
Some principles of sampling 121
Inferences regarding averages 126
Inferences regarding other statistics 141
Some special problems of estimation 147
Exercises 147
9 Significance of differences 149
Differences between means 151
Differences between proportions and frequencies 162
Differences between coefficients of correlation !66
Differences between variances 168
Exercises 170
10 Hypothesis testing 172
Some rules for statistical decisions 172
Errors in statistical decisions 177
Needed sample sizes 185
Testing hypotheses with the binomial model 189
Exercises 192
11 Chi square 195
General features of chi square 195
Chi square in contingency tables 201
Some special applications of chi square 209
Exercises 212
ix Contents
72 Nonparametric or distribution-free statistics 214,
Tests of differences with correlated data 275
Tests of differences with uncorrelated data 278
Tests of similarity of frequency distributions 223
Exercises 227
73 Analysis of variance 229
Analysis in a one-way classification problem 230
More detailed testing of differences between set means 239
Analysis in a two-way classification problem 246
Some special analysis-of-variance methods 264
General comments on analysis of variance 276
Exercises 278
14 Special correlation methods and problems 282
Spearman s rank-difference correlation method 283
The correlation ratio 285
The biserial coefficient of correlation 293
Point-biserial correlation 297
Tetrachoric correlation 300
The phi coefficient 306
The C index of agreement 310
Partial correlation 372
Other special problems 314
Exercises 324
15 Prediction and accuracy of prediction 326
Predicting measurements from attributes 327
Predicting measurements from other measurements 332
Regression equations 335
The correlation coefficient and accuracy of prediction 344
Prediction of attributes from measurements 349
Prediction of attributes from other attributes 351
Exercises 355
76 Multiple prediction 358
Multiple correlation 358
Some principles of multiple correlation 369
Multiple correlation with more than three variables 374
Other combinations of measures 376
Alternative summarizing methods 387
Exercises 394
17 Reliability of measurements 396
Reliability theory 396
Methods of estimating reliability 403
Internal-consistency reliability 470
x Contents
Some special problems in reliability 419
Exercises 422
18 Validity of measurements 424
Problems of validity 424
A brief introduction to factor theory 427
Conditions upon which validity depends 434
Item analysis 445
Exercises 458
79 Test scales and norms 461
Standard scores 463
The T scale and T scaling of tests 468
The C scale and stanines 474
Some norm and profile suggestions 477
Exercises 478
Appendix A Some selected mathematical proofs and derivations 480
Appendix S Tables 492
Index 535
|
| adam_txt |
Titel: Fundamental statistics in psychology and education
Autor: Guilford, Joy P.
Jahr: 1973
Preface xi
J Introduction for students 1
2 Counting and measuring 11
Data in categories 12
Measurements 18
Exercises 23
3 Frequency distributions 25
The class interval and frequencies 25
Graphic representation of frequency distributions 28
Cumulative frequencies and cumulative distributions 33
Exercises 39
4 Measures of central value 42
The arithmetic mean 43
The median and centile values 48
The mode 52
When to employ the mean, median, and mode 53
Means of means, percentages, and proportions 57
Exercises 58
5 Measures of variability 62
The total range 63
The semi-interquartile range Q 63
The standard deviation 65
Descriptive use of statistics 75
vin Contents
Uses and interrelationships of different measures of dispersion 77
Exercises 78
6 Correlation 79
The meaning of correlation 80
How to compute a coefficient of correlation 83
Interpretations of a coefficient of correlation 90
Graphic representations of correlations 93
Assumptions underlying the product-moment correlation 94
Generality of use of correlation methods 95
Exercises 96
7 Probability and mathematical distributions 99
The need for mathematical models 99
Principles of probability 101
Binomial distributions 104
The normal distribution 108
Areas under the normal-distribution curve 111
Other tests and other mathematical models 116
Exercises 117
8 Statistical estimations and inferences 120
Some principles of sampling 121
Inferences regarding averages 126
Inferences regarding other statistics 141
Some special problems of estimation 147
Exercises 147
9 Significance of differences 149
Differences between means 151
Differences between proportions and frequencies 162
Differences between coefficients of correlation !66
Differences between variances 168
Exercises 170
10 Hypothesis testing 172
Some rules for statistical decisions 172
Errors in statistical decisions 177
Needed sample sizes 185
Testing hypotheses with the binomial model 189
Exercises 192
11 Chi square 195
General features of chi square 195
Chi square in contingency tables 201
Some special applications of chi square 209
Exercises 212
ix Contents
72 Nonparametric or distribution-free statistics 214,
Tests of differences with correlated data 275
Tests of differences with uncorrelated data 278
Tests of similarity of frequency distributions 223
Exercises 227
73 Analysis of variance 229
Analysis in a one-way classification problem 230
More detailed testing of differences between set means 239
Analysis in a two-way classification problem 246
Some special analysis-of-variance methods 264
General comments on analysis of variance 276
Exercises 278
14 Special correlation methods and problems 282
Spearman's rank-difference correlation method 283
The correlation ratio 285
The biserial coefficient of correlation 293
Point-biserial correlation 297
Tetrachoric correlation 300
The phi coefficient 306
The C index of agreement 310
Partial correlation 372
Other special problems 314
Exercises 324
15 Prediction and accuracy of prediction 326
Predicting measurements from attributes 327
Predicting measurements from other measurements 332
Regression equations 335
The correlation coefficient and accuracy of prediction 344
Prediction of attributes from measurements 349
Prediction of attributes from other attributes 351
Exercises 355
76 Multiple prediction 358
Multiple correlation 358
Some principles of multiple correlation 369
Multiple correlation with more than three variables 374
Other combinations of measures 376
Alternative summarizing methods 387
Exercises 394
17 Reliability of measurements 396
Reliability theory 396
Methods of estimating reliability 403
Internal-consistency reliability 470
x Contents
Some special problems in reliability 419
Exercises 422
18 Validity of measurements 424
Problems of validity 424
A brief introduction to factor theory 427
Conditions upon which validity depends 434
Item analysis 445
Exercises 458
79 Test scales and norms 461
Standard scores 463
The T scale and T scaling of tests 468
The C scale and stanines 474
Some norm and profile suggestions 477
Exercises 478
Appendix A Some selected mathematical proofs and derivations 480
Appendix S Tables 492
Index 535 |
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| discipline | Psychologie Mathematik Wirtschaftswissenschaften |
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| edition | 5. ed., internat. student ed. |
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| spelling | Guilford, Joy Paul 1897-1987 Verfasser (DE-588)119237695 aut Fundamental statistics in psychology and education J.P. Guilford ; Benjamin Fruchter 5. ed., internat. student ed. Tokyo [u.a.] McGraw-Hill Kogakusha 1973 XII, 546 S. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in psychology Educational statistics Psychometrics Pädagogik (DE-588)4044302-4 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Psychologie (DE-588)4047704-6 gnd rswk-swf Erziehung (DE-588)4015482-8 gnd rswk-swf Statistik (DE-588)4056995-0 s Psychologie (DE-588)4047704-6 s 1\p DE-604 Erziehung (DE-588)4015482-8 s 2\p DE-604 Pädagogik (DE-588)4044302-4 s 3\p DE-604 Fruchter, Benjamin Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015096102&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Guilford, Joy Paul 1897-1987 Fruchter, Benjamin Fundamental statistics in psychology and education Educational statistics Psychometrics Pädagogik (DE-588)4044302-4 gnd Statistik (DE-588)4056995-0 gnd Psychologie (DE-588)4047704-6 gnd Erziehung (DE-588)4015482-8 gnd |
| subject_GND | (DE-588)4044302-4 (DE-588)4056995-0 (DE-588)4047704-6 (DE-588)4015482-8 |
| title | Fundamental statistics in psychology and education |
| title_auth | Fundamental statistics in psychology and education |
| title_exact_search | Fundamental statistics in psychology and education |
| title_exact_search_txtP | Fundamental statistics in psychology and education |
| title_full | Fundamental statistics in psychology and education J.P. Guilford ; Benjamin Fruchter |
| title_fullStr | Fundamental statistics in psychology and education J.P. Guilford ; Benjamin Fruchter |
| title_full_unstemmed | Fundamental statistics in psychology and education J.P. Guilford ; Benjamin Fruchter |
| title_short | Fundamental statistics in psychology and education |
| title_sort | fundamental statistics in psychology and education |
| topic | Educational statistics Psychometrics Pädagogik (DE-588)4044302-4 gnd Statistik (DE-588)4056995-0 gnd Psychologie (DE-588)4047704-6 gnd Erziehung (DE-588)4015482-8 gnd |
| topic_facet | Educational statistics Psychometrics Pädagogik Statistik Psychologie Erziehung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015096102&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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